Concept explainers
To find: The speeds of woman running and cycling.
Answer to Problem 72E
The woman runs at 5 miles/hour and cycles at 20 miles/hour.
Explanation of Solution
Given:
Woman spends
Woman spends 12 minutes on running and 45 minutes on cycling on Tuesday, covers 16 miles.
Calculation:
Let the woman runs by x speed and cycles by y speed.
According to the given statement, a system of equations is,
Use substitution method to find the values of x and y.
Simplify equation (1) for the value of x.
Substitute
Simplify the above equation.
The value of y is 20.
Back – substitute 20 for y in equation (1) and find value of x.
Simplify the above equation.
The value of x is 5.
Thus, woman runs at 5 miles/hour and cycles at 20 miles/hour.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning